Remi Reboulet (Université Grenoble Alpes)
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In this talk, I am going to explain the main results of my recent preprint (arXiv:2105.12591). The primary goal will be to prove that for every affinoid analytic adic space $X$, pseudocoherent complexes, perfect complexes, and finite projective modules over $\mathcal{O}_X(X)$ form a stack with respect to the analytic topology on $X$. The proof relies on the new approach to analytic geometry developed by Clausen and Scholze by means of condensed mathematics; therefore, I will also explain how to apply their formalism of condensed analytic rings to the study of adic geometry.

Yujie Xu (Harvard University)
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